Given a sine-wave generator of frequency f having internal resistance R1 connected to a high-pass filter. If the generator shown in the dotted outlined box produces a voltage V0(t) = V0 cos(2π ft) with no load, derive an expression for the output voltage V1(t) = V1 cos(2π ft + φ) as a function of frequency f.
V= I R
Xcap = 1 / ωC
The Attempt at a Solution
Ultimately I am lost at the wording in the question. If one is supposed to take the V1 as the accurate final voltage and simply mathematically manipulate it that is what I have attempted. I know that cos(A+B) = (cos(A)cos(B) - sin(A)cos(B) however from there I do not see much I am allowed to do. Perhaps it is my math that is a little rusty. I do remember a long time ago performing manipulations of expressing one variable in terms of another however involving trigonometric functions seems a bit confusing to me.
I know another method would be to go from this time domain to the frequency domain however this manipulation is unknown to me, as the book we are using only talks about the basis of Time Domain view of RCs and Frequency domain view of RCs... " Learning the Art of Electronics - Hayes"
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